Alg2 lesson 7-5 day 2
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This document discusses using Descartes' Rule of Signs to determine the possible number of positive, negative, and imaginary zeros of a polynomial. It provides two examples, stating that a polynomial with 2 sign changes could have 2 or 0 positive zeros, 1 negative zero, and 2, 0, or 4 imaginary zeros. A second polynomial listed as an example is said to have 2 or 0 positive zeros, 2 or 0 negative zeros, and 4, 2, or 0 imaginary zeros due to having 2 sign changes.
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Alg2 lesson 7-5
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Rene Descartes was a 17th century French philosopher, mathematician, and scientist. He is known as the "Father of Modern Philosophy" and a key figure of the Scientific Revolution. Descartes developed rationalism and the method of systematic doubt. He argued that the only certain knowledge is "I think, therefore I am" and that existence can be inferred from clear and distinct ideas, such as the idea of God. Descartes also proposed mind-body dualism and made important contributions to mathematics and science.
Computer Ethics Presentation
The document discusses copyright laws and fair use guidelines for educators. It provides an overview of copyright laws and their intent to protect intellectual property. Fair use allows for limited use of copyrighted works for educational purposes without permission. The document includes a quiz testing knowledge of what is permissible under fair use. It concludes with recommendations for how educators can stay informed of fair use guidelines and properly attribute sources to avoid plagiarism.
Rene descartes power point
Rene Descartes was a French philosopher born in 1596 who provided a framework connecting philosophy, science, and mathematics. He died in 1650 in Stockholm, Sweden at age 53 while serving as a philosophy teacher to Queen Christina, having made influential contributions through phrases like "I think therefore I am" which proposed that thought and existence are intrinsically linked.
Legal, Ethical, and Social Issues in Educational Computing
This document discusses various legal, social, and ethical issues related to technology use in education. It addresses topics like social networking, acceptable use policies, netiquette, cyberbullying, student data privacy, the digital divide, copyright, fair use, and Creative Commons. For each topic, it provides overview information and suggestions for what teachers can do to address the issues, such as developing social media contracts, enforcing acceptable use policies, modeling good digital citizenship, educating students on privacy and ethics, and ensuring equitable access to technology resources. The document concludes with a list of additional resources on these technology-related issues in education.
Computer Ethics
Computer ethics deals with standards of conduct regarding computers and how computing professionals make decisions involving professional and social conduct. There are three major areas of computer ethics: copyright and intellectual property, netiquette, and day-to-day ethics. Copyright protects original creative works from being copied without permission, while intellectual property refers more broadly to creations of the intellect like inventions, works, and designs. Netiquette guidelines help ensure proper and considerate use of networks by emphasizing privacy, avoiding spam, and making constructive contributions. Day-to-day computer ethics addresses issues like software piracy, virus creation, plagiarism, hacking, and respecting file privacy.
René Descartes
René Descartes (1596-1650) foi um grande filósofo, físico e matemático francês conhecido como o "pai da filosofia moderna". Ele estudou no colégio de La Flèche e criou a geometria cartesiana, introduzindo o conceito de coordenadas cartesianas. Sua obra se caracterizou por aplicar álgebra à geometria e vice-versa, dando origem à geometria analítica moderna.
RENÉ DESCARTES
1) O documento lista 4 nomes: Bruno, Eimar, Márcia e Virna.
2) O texto citado é de Agostinho e discute a certeza da existência baseada no pensamento.
3) O documento apresenta breves biografias e ideias centrais de Descartes, incluindo seu método filosófico e dualismo mente-corpo.
PPIT Lecture 8
This document discusses ethical issues related to information systems. It introduces the concept of NORA technology which can find obscure relationships in data from multiple sources, potentially violating privacy. It then outlines principles of ethics like responsibility, accountability, and liability. The document presents a 5-step process for ethical analysis and 6 candidate ethical principles. Professional codes of conduct and real-world dilemmas are discussed. The rest of the document focuses on privacy, outlining US privacy protections and fair information practices that are the basis for many privacy laws. The European data protection directive and US safe harbor framework in response are also summarized.
Computer Ethics and Legal Issues
This document defines key concepts related to computer ethics, law, and crimes. It discusses the differences between ethics and law, outlines four types of intellectual property laws, and describes ways to protect privacy online. Authentication methods like passwords, smart cards, and biometrics are explained. The effects of pornography and slander are contrasted. Examples of computer crimes and the purpose of cyber laws in Malaysia are provided.
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1150 day 11
Ratios, proportions, and percents can be used to compare quantities and solve problems. A ratio compares two quantities, like the number of squares to circles. Equal ratios form a proportion, which can be used to solve for unknown values. Percents represent a number out of 100. Common percent calculations include finding a percent of a number and converting between fractions, decimals, and percents. The percent proportion states that the percent equals the part divided by the whole quantity.
1150 day 10
This document covers topics related to repeating decimals, irrational numbers, and square roots. It includes examples of writing repeating decimals as fractions, ordering decimals, finding square roots, and using the Pythagorean theorem. Various math problems are presented along with step-by-step solutions to illustrate these concepts.
1150 day 9
1) Decimals represent numbers using place value with decimal points. To write decimals in expanded form, they are broken into place value terms using positive and negative exponents.
2) Fractions can be converted to decimals using division or by writing the fraction as a ratio of two numbers and setting up a proportion to solve for the decimal.
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1150 day 8
This document provides an overview of rational numbers including:
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1150 day 7
This document discusses prime and composite numbers, greatest common divisors (GCD), and least common multiples (LCM). It provides examples of finding the GCD and LCM of various numbers using different methods like the intersection of sets method, prime factorization method, and Euclidean algorithm. Key definitions include: a prime number has exactly two distinct positive divisors, a composite number has factors other than itself and 1, the GCD is the largest integer that divides numbers, and the LCM is the smallest number that is a multiple of the given numbers.
1150 day 6
Integers include positive and negative whole numbers. Absolute value is the distance from zero. Addition and subtraction on a number line involve moving left or right. Multiplication follows patterns based on sign. Division is the inverse of multiplication regarding sign. A number is divisible by another if it can be written as a product of an integer multiple. Divisibility tests identify patterns in a number's digits.
1150 day 5
Algebraic thinking involves recognizing patterns, modeling situations with symbols, and analyzing change. It relies on understanding variables to represent unknown quantities. The document traces the evolution of algebraic thinking from simple equations to more complex concepts like functions, composite functions, and properties of equations. It provides examples of how algebraic reasoning and symbols can be used to represent and solve real-world problems.
1150 day 4
The document discusses various aspects of whole number operations including:
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1150 day 3
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The number of terms in each sequence can be determined by finding a one-to-one correspondence with the counting numbers.
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Alg2 lesson 13-4
The document discusses solving for unknown sides and angles of triangles using trigonometric functions like the law of sines. Several multi-step example problems are worked through that involve determining if a triangle is possible based on given information, finding missing side lengths, and calculating angles. Diagrams are included to illustrate each step of the example problems.
Alg2 lesson 13-3
The document contains instructions for finding trigonometric function values given specific angle measurements or terminal side locations. It includes:
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2) Finding the six trig functions of an angle with a terminal side at (-3, 4)
3) Finding the reference angle of 330°
4) Finding the reference angle of an angle in Quadrant III
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Alg2 lesson 13-3
The document contains instructions for finding trigonometric function values given specific angle measurements or terminal side locations. It includes:
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2) Finding the six trig functions of an angle with a terminal side at (-3, 4)
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The document describes how to draw angles in standard position on a unit circle and convert between degrees and radians. It provides examples of drawing angles such as 210°, -45°, and 540° in standard position and rewriting angles such as 30°, 45°, and an unspecified angle in radians and degrees. It also gives examples of finding coterminal angles for 210° with one positive and one negative measure.
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The document provides information about arithmetic and geometric series. It defines arithmetic and geometric series, provides examples of finding sums of arithmetic series using formulas, and defines the key terms (first term, common ratio, number of terms, last term) used in the formula to calculate the sum of a geometric series.
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The document discusses arithmetic sequences, which are patterns of numbers where each term is found by adding a constant value to the previous term. It provides examples of arithmetic sequences with different common differences and shows how to write equations to determine the nth term. It also explains how to find terms within an arithmetic sequence and determine arithmetic means between two non-consecutive terms.
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- 1. Pg. 372 Use Descartes’ Rule to find the possible number of positive or negative zeros of a polynomial
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